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  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "# Long Short-Term Memory (LSTM)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "origin_pos": 3,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import nn\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Initializing Model Parameters\n",
    "the initialization function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "origin_pos": 6,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "class LSTMScratch(d2l.Module):  \n",
    "    def __init__(self, num_inputs, num_hiddens, sigma=0.01):\n",
    "        super().__init__()\n",
    "        self.save_hyperparameters()\n",
    "\n",
    "        init_weight = lambda *shape: nn.Parameter(torch.randn(*shape) * sigma)\n",
    "        triple = lambda: (init_weight(num_inputs, num_hiddens),\n",
    "                          init_weight(num_hiddens, num_hiddens),\n",
    "                          nn.Parameter(torch.zeros(num_hiddens)))\n",
    "        self.W_xi, self.W_hi, self.b_i = triple()\n",
    "        self.W_xf, self.W_hf, self.b_f = triple()\n",
    "        self.W_xo, self.W_ho, self.b_o = triple()\n",
    "        self.W_xc, self.W_hc, self.b_c = triple()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "The actual model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "origin_pos": 8,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "@d2l.add_to_class(LSTMScratch)\n",
    "def forward(self, inputs, H_C=None):\n",
    "    H, C = None, None if H_C is None else H_C\n",
    "    outputs = []\n",
    "    for X in inputs:\n",
    "        I = torch.sigmoid(torch.matmul(X, self.W_xi) + (\n",
    "            torch.matmul(H, self.W_hi) if H is not None else 0) + self.b_i)\n",
    "        if H is None:\n",
    "            H, C = torch.zeros_like(I), torch.zeros_like(I)\n",
    "        F = torch.sigmoid(torch.matmul(X, self.W_xf) +\n",
    "                        torch.matmul(H, self.W_hf) + self.b_f)\n",
    "        O = torch.sigmoid(torch.matmul(X, self.W_xo) +\n",
    "                        torch.matmul(H, self.W_ho) + self.b_o)\n",
    "        C_tilda = torch.tanh(torch.matmul(X, self.W_xc) +\n",
    "                           torch.matmul(H, self.W_hc) + self.b_c)\n",
    "        C = F * C + I * C_tilda\n",
    "        H = O * torch.tanh(C)\n",
    "        outputs.append(H)\n",
    "    return outputs, (H, C)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Training"
   ]
  },
  {
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   "execution_count": 4,
   "metadata": {
    "origin_pos": 10,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
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   "source": [
    "data = d2l.TimeMachine(batch_size=1024, num_steps=32)\n",
    "lstm = LSTMScratch(num_inputs=len(data.vocab), num_hiddens=32)\n",
    "model = d2l.RNNLMScratch(lstm, vocab_size=len(data.vocab), lr=4)\n",
    "trainer = d2l.Trainer(max_epochs=50, gradient_clip_val=1, num_gpus=1)\n",
    "trainer.fit(model, data)"
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  {
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   "source": [
    "Concise Implementation"
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  {
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   "execution_count": 6,
   "metadata": {
    "origin_pos": 15,
    "tab": [
     "pytorch"
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   "source": [
    "class LSTM(d2l.RNN):\n",
    "    def __init__(self, num_inputs, num_hiddens):\n",
    "        d2l.Module.__init__(self)\n",
    "        self.save_hyperparameters()\n",
    "        self.rnn = nn.LSTM(num_inputs, num_hiddens)\n",
    "\n",
    "    def forward(self, inputs, H_C=None):\n",
    "        return self.rnn(inputs, H_C)\n",
    "\n",
    "lstm = LSTM(num_inputs=len(data.vocab), num_hiddens=32)\n",
    "model = d2l.RNNLM(lstm, vocab_size=len(data.vocab), lr=4)\n",
    "trainer.fit(model, data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "origin_pos": 16,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'it has sour in the the the'"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.predict('it has', 20, data.vocab, d2l.try_gpu())"
   ]
  }
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